Copyrighted Materials t0CrpUvy Press fort wwo INDEX Index Terms Links A A matrix 70 80 Amplification factor 302 Average stress criterion 431 B Back calculation of engineering constants 451 example 451 B-matrix 70 80 Beams applied loads 203 bending 206 bending stiffness 206 207 208 209 210 boundary conditions 205 206 264 box-beams See Box-beams buckling. See Buckling of beams; Buckling of beams with shear deformation C-section beams.See C-beams centroid 203 with circular cross section.See Beams with circular cross section compliance 209 coordinate system 203 This page has been reformatted by Knovel to provide easier navigation
This page has been reformatted by Knovel to provide easier navigation. INDEX Index Terms Links A A matrix 70 80 Amplification factor 302 Average stress criterion 431 B Back calculation of engineering constants 451 example 451 B-matrix 70 80 Beams applied loads 203 bending 206 bending stiffness 206 207 208 209 210 boundary conditions 205 206 264 box-beams. See Box-beams buckling. See Buckling of beams; Buckling of beams with shear deformation C-section beams. See C-beams centroid 203 with circular cross section. See Beams with circular cross section compliance 209 coordinate system 203
Index Terms Links Beams(Cont.) coupling.See Coupling curvature 204 equilibrium 204 force-strain relationship 204 206 209 governing equations 203 I-beams.See I-beams internal forces 203 isotropic beams 206 L-beams.See L-beams neutral plane 213 See also Neutral plane orthotropic beams 207 rate of twist 204 rectangular solid cross section See Solid-section beams under axial load and bending reference plane 213 See also Reference plane replacement stiffness 210 restrained-warping-induced torque 263 318 339 354 sandwich.See Sandwich beams shear center.See Shear center shear deformation.See Beams with shear deformation;Sandwich beams shear force 203 stiffness 204 strain-displacement relationship 204 summary of equations 311 with symmetrical cross section 206 tensile stiffness 206 207 208 210 This page has been reformatted by Knovel to provide easier navigation
Index Terms Links This page has been reformatted by Knovel to provide easier navigation. Beams (Cont.) coupling. See Coupling curvature 204 equilibrium 204 force–strain relationship 204 206 209 governing equations 203 I-beams. See I-beams internal forces 203 isotropic beams 206 L-beams. See L-beams neutral plane 213 See also Neutral plane orthotropic beams 207 rate of twist 204 rectangular solid cross section See Solid-section beams under axial load and bending reference plane 213 See also Reference plane replacement stiffness 210 restrained-warping-induced torque 263 318 339 354 sandwich. See Sandwich beams shear center. See Shear center shear deformation. See Beams with shear deformation; Sandwich beams shear force 203 stiffness 204 strain-displacement relationship 204 summary of equations 311 with symmetrical cross section 206 tensile stiffness 206 207 208 210
Index Terms Links Beams (Cont.) thin-walled beams. See Closed-section beams under axial load and bending;Open- section beams under axial load and bending;Stiffened beams;Thin-walled beams under axial load,bending,and torsion;Torsion of thin-walled beams torque neutral surface 254 258 torsional stiffness 206 208 210 transversely loaded.See Transversely loaded beams;Transversely loaded beams with shear deformation T-section beams.See T-beams twist 203 vibration.See Vibration warping stiffness.See Warping stiffness Z-section beams.See Z-beams Beam element 397 Beam equations,summary of 311 Beams with circular cross section 454 455 458 Beams with shear deformation 313 See also Sandwich beams;Transversely loaded beams with shear deformation bending moment 319 bending stiffness 322 boundary conditions 321 buckling. See Buckling of beams with shear deformation This page has been reformatted by Knovel to provide easier navigation
Index Terms Links This page has been reformatted by Knovel to provide easier navigation. Beams (Cont.) thin-walled beams. See Closed-section beams under axial load and bending; Opensection beams under axial load and bending; Stiffened beams; Thin-walled beams under axial load, bending, and torsion; Torsion of thin-walled beams torque neutral surface 254 258 torsional stiffness 206 208 210 transversely loaded. See Transversely loaded beams; Transversely loaded beams with shear deformation T-section beams. See T-beams twist 203 vibration. See Vibration warping stiffness. See Warping stiffness Z-section beams. See Z-beams Beam element 397 Beam equations, summary of 311 Beams with circular cross section 454 455 458 Beams with shear deformation 313 See also Sandwich beams; Transversely loaded beams with shear deformation bending moment 319 bending stiffness 322 boundary conditions 321 buckling. See Buckling of beams with shear deformation
Index Terms Links Beams with shear deformation (Cont. coordinate system 313 deflection 313 330 deformation 313 effects of shear deformation 359 equations,summary of 320 equilibrium 320 force-strain relationship 315 governing equations 314 I-beams 315 324 rate of twist 314 315 317 restrained-warping-induced torque 319 rotation of the cross-section 313 314 Saint-Venant torque 317 shear compliance 320 321 shear force 319 shear stiffness 320 321 322 325 strain-displacement relationship 315 strain energy 322 tensile stiffness 322 torsional stiffness 322 transverse shear strain 313 vibration 347 warping stiffness 322 Bending-bending coupling 73 Bending moment.See Moment Bending-shear coupling 73 Bending stiffness of beams with shear deformation 322 of box-beams 256 258 454 455 456 of C-beams 285 454 456 This page has been reformatted by Knovel to provide easier navigation
Index Terms Links This page has been reformatted by Knovel to provide easier navigation. Beams with shear deformation (Cont.) coordinate system 313 deflection 313 330 deformation 313 effects of shear deformation 359 equations, summary of 320 equilibrium 320 force–strain relationship 315 governing equations 314 I-beams 315 324 rate of twist 314 315 317 restrained-warping-induced torque 319 rotation of the cross-section 313 314 Saint-Venant torque 317 shear compliance 320 321 shear force 319 shear stiffness 320 321 322 325 strain–displacement relationship 315 strain energy 322 tensile stiffness 322 torsional stiffness 322 transverse shear strain 313 vibration 347 warping stiffness 322 Bending–bending coupling 73 Bending moment. See Moment Bending–shear coupling 73 Bending stiffness of beams with shear deformation 322 of box-beams 256 258 454 455 456 of C-beams 285 454 456
Index Terms Links Bending stiffness(Cont.) of circular cross-section beams 454 455 of closed-section beams 231 232 234 235 246 of I-beams 295 454 455 456 of L-beams 223 of open-section beams 230 231 232 234 235 236 of sandwich beams 327 328 333 334 of stiffened beams 289 ofT-beams 219 240 Bending stiffness parameter 100 Bending-twist coupling 72 76 Bernoulli-Navier hypothesis 203 227 267 313 Biaxial test 418 Bimoment 262 317 318 319 354 Boundary conditions 47 beams 205 206 264 beams with shear deformation 321 plates 92 101 113 145 sandwich plates 172 183 torsion of beams 264 Box-beams 255 272 300 bending stiffness 256 258 454 455 456 centroid 274 454 456 compliance 274 deflection 257 259 elongation 260 274 examples 255 257 272 304 local buckling 300 304 neutral surface 258 259 parameter of restraint 304 This page has been reformatted by Knovel to provide easier navigation
Index Terms Links This page has been reformatted by Knovel to provide easier navigation. Bending stiffness (Cont.) of circular cross-section beams 454 455 of closed-section beams 231 232 234 235 246 of I-beams 295 454 455 456 of L-beams 223 of open-section beams 230 231 232 234 235 236 of sandwich beams 327 328 333 334 of stiffened beams 289 of T-beams 219 240 Bending stiffness parameter 100 Bending–twist coupling 72 76 Bernoulli–Navier hypothesis 203 227 267 313 Biaxial test 418 Bimoment 262 317 318 319 354 Boundary conditions 47 beams 205 206 264 beams with shear deformation 321 plates 92 101 113 145 sandwich plates 172 183 torsion of beams 264 Box-beams 255 272 300 bending stiffness 256 258 454 455 456 centroid 274 454 456 compliance 274 deflection 257 259 elongation 260 274 examples 255 257 272 304 local buckling 300 304 neutral surface 258 259 parameter of restraint 304